Question

An airline charges $(22x+20) for a ticket, $(x+1) to check a bag, $2x for food, and $(15x-16) to upgrade to first class. Write an expression to represent the total cost of flying first class, checking the bag, and buying food on the plane

Answer 1

$ (40x + 5) is the expression to represent the total cost of flying first class, checking the bag, and buying food on the plane

Solution:

Given that,

Charge for ticket = $ (22x + 20)

Charge for checking bag = $ (x + 1)

Charge for food = $ 2x

Charge to upgrade to first class = $ (15x - 16)

To find: Expression to represent the total cost of flying first class, checking the bag, and buying food on the plane

Total cost = Charge for ticket + Charge for checking bag + Charge for food + Charge to upgrade to first class

$Total\ Cost = (22x + 20) + (x + 1) + (2x) + (15x-16)\\\\Total\ Cost = 22x + 20 + x + 1 + 2x + 15x - 16\\\\\text{Combine the like terms}\\\\Total\ Cost = 40x+5$

Thus the expression to represent total cost is $ 40x + 5